1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gayaneshka [121]
2 years ago
6

A transverse periodic wave is established on a string. The wave is described by the expression y = 0.005 sin(20.0x + 2ft) where

y is in meters when x and t are in meters and seconds, respectively. If the wave travels with a speed of 20.0 m/s, what is its frequency, f?
Physics
1 answer:
Crank2 years ago
6 0

Answer:

f =63.64Hz

Explanation:

The equation of the transverse periodic wave

y = 0.005 sin(20.0x + 2ft)

From the equation we can deduce that

Amplitude A = 0.005

Wave number K = 20

Angular frequency w = 2πf

We are asked to find the frequency (f)

the formular for the wave number is given as K = 2π / lambda

Lambda = 2π/ K

Lamda is the wavelength

= 2 × 3.142 /20

= 0.3142m

The velocity of the wave is expressed as v = frequency × lamba (wavelength)

Frequency = velocity / wavelength

f = 20/ 0.3142

f = 63.65Hz

You might be interested in
On a safety test course, a 1000 kg car heading north at 5 m/s collides head-on with an 800 kg car heading south at 4 m/s. At the
Luden [163]

Answer:

The speed is 3.5\frac{m}{s} and the direction is heading north.

Explanation:

In collisions the force exerted by the objects that collide is higher enough than the external forces that we can neglect that external forces, with that assumption we can use the conservation fo momentum law that states, final total momentum (pf) is equal initial total momentum (pi) if there’re not external forces or they are small enough to be neglected. Mathematically:

p_f=p_i

The total momentum is the sum of the momentum of each of the bodies we're dealing, in our case the moment of each car, then:

p_{nf}+p_{sf}=p_{ni}+p_{si}

with pn the momentum of the 1000kg car heading north and ps the 800kg car heading south. Momentum is defined as mass times velocity, then:

m_nv_{nf}+m_sv_{sf}=m_nv_{ni}+m_sv_{si} (1)

It's important to note that when we talk about momentum and velocity direction matters, so we're are going to choose a system of reference where quantities pointing north are positive and pointing south are negative. So, the initial velocity of 1000 kg car is vni=5 m/s, initial velocity of 800 kg car is vsi=-4 m/s and the final velocity of 1000 kg car is vnf=-1 m/s. Now we can solve (1) for vsf and use the values we already have:

v_{sf}=\frac{m_nv_{ni}+m_sv_{si}-m_nv_{nf}}{m_s}=\frac{(1000)(5)+(800)(-4)-(1000)(-1)}{800}

v_{sf}=3.5\frac{m}{s}

Because the sign is positive the direction is to heading north.

7 0
2 years ago
The average human has a density of 945 kg/m3 after inhalation, and 1020 kg/m3 after exhalation. Fresh water has a density of 100
Montano1993 [528]

Answer:

a. The human body has nearly the same density as salt water after exhaling.

b. The human body will always float in the Dead Sea.

Explanation:

According to the concept of floating on the basis of  density, any body that is put in a fluid of density greater than its own density will always float due to the force of buoyancy from the liquid.

  • The portion of the object submerged  while the object is floating depends upon the density of the object as compared to the density of the fluid. This is governed by the equation:

\rho_f.V_s=\rho_o.V_o

where:

\rho_f= density of the fluid

\rho_o= density of the object

V_s= volume of the object submerged in the fluid

V_o= total volume of the object

6 0
3 years ago
What is the full form of work?​
Pepsi [2]

Answer: JOB

Explanation: They full forms of work are JOB which is JUST OBEY BOSS or Joining Other Bussiness .

7 0
3 years ago
The three elements of emotion are?
Alona [7]

Answer: Physical component- state of physiological arousal triggered by autonomic nervous system

Behavioral component- outward expression of emotion, including facial expression and behavior

Cognitive component- appraisal of the situation determine which emotion we are experiencing and why.

Explanation:

hope that helps :)

5 0
3 years ago
Why do astronomers use frequencies other than the visible ones when they are
larisa [96]
Because not all of the universe can be seen with a visible spectrum
6 0
3 years ago
Other questions:
  • Which is not a correct way to measure wavelength?
    11·2 answers
  • Calculate the flow rate of blood (of density 0.846 g/cm3 ) in an aorta with a crosssectional area of 1.36 cm2 if the flow speed
    10·1 answer
  • An object in circular motion has velocity that is constantly changing. The direction of the acceleration is
    9·1 answer
  • Aconstant current of 3 Afor 4 hours is required to charge an automotive battery. If the terminal voltage is V, where t is in hou
    11·1 answer
  • How do water and minerals get to each cell in a plant?
    11·1 answer
  • .If Nellie Newton pushes an object with twice the force for twice the distance, she does
    12·1 answer
  • Why is damage from sound waves is an issue on the launchpad but not in the air
    14·1 answer
  • State Newton's three laws of motion.​
    11·1 answer
  • A resistor has a resistance of 50 Ohms. If a 9V battery is connected to it, how much current flows in the wire?
    14·1 answer
  • The principles that you will examine in this lab can be illustrated by studying a falling bucket. Imagine a frictionless pulley
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!